Search a number
-
+
200669130 = 23353753379
BaseRepresentation
bin10111111010111…
…11011111001010
3111222121001022000
423331133133022
5402332403010
631525011430
74654442124
oct1375373712
9458531260
10200669130
11a32aa762
1257253b76
133275ca3c
141c918214
151293c7c0
hexbf5f7ca

200669130 has 128 divisors (see below), whose sum is σ = 561427200. Its totient is φ = 50948352.

The previous prime is 200669113. The next prime is 200669141. The reversal of 200669130 is 31966002.

It is a happy number.

200669130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200669094 and 200669103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529281 + ... + 529659.

It is an arithmetic number, because the mean of its divisors is an integer number (4386150).

Almost surely, 2200669130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200669130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280713600).

200669130 is an abundant number, since it is smaller than the sum of its proper divisors (360758070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200669130 is a wasteful number, since it uses less digits than its factorization.

200669130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 200669130 is about 14165.7731875108. The cubic root of 200669130 is about 585.4550043295.

The spelling of 200669130 in words is "two hundred million, six hundred sixty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 53 54 74 90 106 111 135 159 185 222 265 270 318 333 370 379 477 530 555 666 758 795 954 999 1110 1137 1431 1590 1665 1895 1961 1998 2274 2385 2862 3330 3411 3790 3922 4770 4995 5685 5883 6822 7155 9805 9990 10233 11370 11766 14023 14310 17055 17649 19610 20087 20466 28046 29415 34110 35298 40174 42069 51165 52947 58830 60261 70115 84138 88245 100435 102330 105894 120522 126207 140230 176490 180783 200870 210345 252414 264735 301305 361566 378621 420690 529470 542349 602610 631035 743219 757242 903915 1084698 1262070 1486438 1807830 1893105 2229657 2711745 3716095 3786210 4459314 5423490 6688971 7432190 11148285 13377942 20066913 22296570 33444855 40133826 66889710 100334565 200669130